Optimisation of an alternating current multi-conductor system

In this paper, we consider a multi conductor system for the transport of electric energy. Not only the electric field between the conductors, but also the internal field distribution inside the conductors is taken into account. Whereas the first one is governed by the Laplace potential equation, the latter one is governed by the AC diffusion equation in order to include the eddy current effects. Both sets of equations are solved using the Boundary Element Method. At last the geometrical layout of the multi conductor system will be optimized using a genetic algorithm. The criterion for the optimization process is the minimization of the global electric losses of the multi conductor system.